Two cylinders are similar. Find the surface area of the smaller cylinder small cylinder height is 3 the larger cylinder height is 5 and the surface area is 236 what is the surface area of the smaller cylinder

141.6

Step-by-step explanation:

Two cylinders are similar. Find the surface area of the smaller cylinder small cylinder height is 3 the larger cylinder height is 5 and the surface area is 236 what is the surface area of the smaller cylinder

We solve using Proportion

Height/ Area

Height of small cylinder / Area of small cylinder = Height of large cylinder / Area of large cylinder

= 3/x = 5/236

Cross Multiply

5x = 3 × 236

x = 3 × 236/5

x = 141.6

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).